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Dynamic stiffness matrix of composite box beams
Steel & Composite structures, 2009For the spatially coupled free vibration analysis of composite box beams resting on elastic foundation under the axial force, the exact solutions are presented by using the power series method based on the homogeneous form of simultaneous ordinary differential equations.
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Identification of dynamic stiffness matrix of bearing joint region
Frontiers of Mechanical Engineering in China, 2009The paper proposes an identification method of the dynamic stiffness matrix of a bearing joint region on the basis of theoretical analysis and experiments. The author deduces an identification model of the dynamic stiffness matrix from the synthetic substructure method.
Feng Hu, Bo Wu, Youmin Hu, Tielin Shi
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Coupled vibrations of beams—an exact dynamic element stiffness matrix
International Journal for Numerical Methods in Engineering, 1983AbstractA uniform linearly elastic beam element with non‐coinciding centres of geometry, shear and mass is studied under stationary harmonic end excitation. The Euler‐Bernoulli‐Saint Venant theory is applied. Thus the effect of warping is not taken into account.
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Dynamic stiffness matrix for variable cross‐section Timoshenko beams
Communications in Numerical Methods in Engineering, 1995AbstractThe Timoshenko beam model incorporates the effect of shear deformations and rotary inertia in the vibration response of beams. For constant cross‐section beams it was shown that the effect is dependent on the aspect ratio of the beams, and for beams with large ratio the effect is small.
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Exact Bernoulli–Euler dynamic stiffness matrix for a range of tapered beams
International Journal for Numerical Methods in Engineering, 1985AbstractBernoulli‐Euler theory and Bessel functions are used to obtain explicit expressions for the exact dynamic stiffnesses for axial, torsional and flexural vibrations of any beam which is tapered such that A varies as yn and GJ and I both vary as y(n + 2), where A, GJ and I have their usual meanings; y = (cx/L) + 1; c is a constant such that c >
Banerjee, J. R., Williams, F. W.
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The dynamic stiffness matrix (DSM) of axially loaded multi-cracked frames
Mechanics Research Communications, 2017Abstract The presence of axial load, due to mechanical loading or to temperature effects, represents a strong peculiarity of frame applications both in direct and inverse problems involving the presence of cracks. The lack of explicit formulations of the Dynamic Stiffness Matrix (DSM) for cracked beam elements accounting for the influence of axial ...
CADDEMI, Salvatore +2 more
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Coupled bending-torsional dynamic stiffness matrix for timoshenko beam elements
Computers & Structures, 1992Abstract Analytical expressions for the coupled bending-torsional dynamic stiffness matrix elements of a uniform Timoshenko beam element are derived in an exact sense by solving the governing differential equations of motion of the element. Application of the developed theory in the context of wings, blades and grillages is discussed with particular ...
Banerjee, J. R., Williams, F. W.
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Dynamic stiffness matrix of an axially loaded slenderdouble-beam element
Structural Engineering and Mechanics, 2010The dynamic stiffness matrix is formulated for an axially loaded slender double-beam element in which both beams are homogeneous, prismatic and of the same length by directly solving the governing differential equations of motion of the double-beam element.
Li Jun, Hua Hongxing, Li Xiaobin
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Analysis of the hull girder vibration by dynamic stiffness matrix method
Journal of Marine Science and Application, 2006Dynamic stiffness matrix method is applied to compute vibration of hull girder in this paper. This method can not only simplify the computational model, but also get much higher frequencies and responses accurately. The analytical expressions of dynamic stiffness matrix of a Timoshenko beam for transverse vibration are presented in this paper.
Ping Zhou, De-you Zhao
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Error bounds on the eigenvalues of a linearized dynamic stiffness matrix
Communications in Numerical Methods in Engineering, 1998The author investigates the bounding properties of the linearized eigenmatrix. After the linearization procedure for a nonlinear stiffness matrix is examined, error bounds are derived for the approximating eigenvalues obtained by the linearization.
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